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Time Value of Money Exercises

1. What is the balance in an investment account at the end of 10 years if $5,000 is invested today and the account earns 8% interest compounded annually? What would the value be after 50 years? After 100 years?

2. What is the present value of the following future amounts:

Future Value Discount rate Number of periods $15,000 6% 5 $37,000 9% 10 $596,000 11% 4 $1,178,000 9.5% 12

3. Calculate the present value of the following cash inflows assuming an 11% discount rate. Year Cash flow 1 17,000 2 17,000 3 17,000 4 17,000 5 17,000 6 100,000

4. Consider the following two mutually exclusive projects

Year Cash Flow Project 1 Cash Flow Project 2 0 -150,000 -150,000 1 $40,000 $100,000 2 $90,000 $80,000 3 $120,000 $60,000

a) Calculate the net present value (NPV) of each project assuming an 8% discount rate.

b) Calculate the Internal Rate of Return (IRR) for each project.

5. Anne Jones checked her lottery ticket once again. The numbers matched; she had won the $10,000,000 grand prize. The lottery provided two options for payment of the grand prize. First, the winner could take $1,000,000 immediately, with the remainder payable in $1,000,000 instalments over nine years, starting one year from now. The alternative payment option was an immediate lump sum payment of $7,000,000.

Anne believes that she can earn a rate of return of 7 per cent on any money she receives.

a) Which payment option would you suggest that Anne select?

b) What Interest rate would make these two options equivalent?

6. You are planning to establish a retirement savings plan by setting aside money at the end of each year. It is your hope to retire at age 55

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